Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices. By creating special conditions and using the properties of Volterra-Lyapunov matrices, it is possible to recogni...

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Autores principales:	Pengcheng Shao, Stanford Shateyi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	global stability SEIRS dynamical systems Volterra-Lyapunov stability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0ce7b48554fc4b70854141091bdb7ec0
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spelling	oai:doaj.org-article:0ce7b48554fc4b70854141091bdb7ec02021-11-11T18:13:33ZStability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function10.3390/math92126442227-7390https://doaj.org/article/0ce7b48554fc4b70854141091bdb7ec02021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2644https://doaj.org/toc/2227-7390This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices. By creating special conditions and using the properties of Volterra-Lyapunov matrices, it is possible to recognize the stability of the endemic equilibrium (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>E</mi><mn>1</mn></msub></semantics></math></inline-formula>) for the SEIRS model. Numerical results are used to verify the presented analysis.Pengcheng ShaoStanford ShateyiMDPI AGarticleglobal stabilitySEIRSdynamical systemsVolterra-Lyapunov stabilityMathematicsQA1-939ENMathematics, Vol 9, Iss 2644, p 2644 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	global stability SEIRS dynamical systems Volterra-Lyapunov stability Mathematics QA1-939
spellingShingle	global stability SEIRS dynamical systems Volterra-Lyapunov stability Mathematics QA1-939 Pengcheng Shao Stanford Shateyi Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
description	This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices. By creating special conditions and using the properties of Volterra-Lyapunov matrices, it is possible to recognize the stability of the endemic equilibrium (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>E</mi><mn>1</mn></msub></semantics></math></inline-formula>) for the SEIRS model. Numerical results are used to verify the presented analysis.
format	article
author	Pengcheng Shao Stanford Shateyi
author_facet	Pengcheng Shao Stanford Shateyi
author_sort	Pengcheng Shao
title	Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
title_short	Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
title_full	Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
title_fullStr	Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
title_full_unstemmed	Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
title_sort	stability analysis of seirs epidemic model with nonlinear incidence rate function
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0ce7b48554fc4b70854141091bdb7ec0
work_keys_str_mv	AT pengchengshao stabilityanalysisofseirsepidemicmodelwithnonlinearincidenceratefunction AT stanfordshateyi stabilityanalysisofseirsepidemicmodelwithnonlinearincidenceratefunction
_version_	1718431865191268352

Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

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